344000510440002 has 256 divisors, whose sum is σ = 904678974259200. Its totient is φ = 95870709285120.

The previous prime is 344000510439977. The next prime is 344000510440031. The reversal of 344000510440002 is 200044015000443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657155052 + ... + 657678312.

It is an arithmetic number, because the mean of its divisors is an integer number (3533902243200).

Almost surely, 2^{344000510440002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344000510440002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452339487129600).

344000510440002 is an abundant number, since it is smaller than the sum of its proper divisors (560678463819198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344000510440002 is a wasteful number, since it uses less digits than its factorization.

344000510440002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525470 (or 525464 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 344000510440002 its reverse (200044015000443), we get a palindrome (544044525440445).

The spelling of 344000510440002 in words is "three hundred forty-four trillion, five hundred ten million, four hundred forty thousand, two".